Our next aim is to refine the result of Proposition REF 
by using more explicit features of the example under investigation.
Using [1]},
the module of Kähler 1-forms on \(A\)  can be computed as
\(\Omega ^1(A) = \frac{A \mathrm {d}z_1 \oplus A \mathrm {d}z_2 \oplus A \mathrm {d}z_1^\ast \oplus A \mathrm {d}z_2^\ast }{\langle \mathrm {d}z_1^\ast z_1 + z_1^\ast \mathrm {d}z_1 + \mathrm {d}z_2^\ast z_2 + z_2^\ast \mathrm {d}z_2 \rangle } ,\) 
